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4979634069312 = 26337317192372
BaseRepresentation
bin100100001110110100101…
…0100011101111101000000
3122122001022021000122122000
41020131221110131331000
51123041242310204222
614331340131544000
71022523655131000
oct110355124357500
918561267018560
104979634069312
11164a93a682391
1268510545b000
132a17679462c6
14133030a48000
15897e97c19ac
hex4876951df40

4979634069312 has 2016 divisors, whose sum is σ = 19607186592000. Its totient is φ = 1234298290176.

The previous prime is 4979634069283. The next prime is 4979634069313. The reversal of 4979634069312 is 2139604369794.

4979634069312 is a `hidden beast` number, since 4 + 9 + 79 + 63 + 406 + 93 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4979634069312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4979634069313) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 134584704558 + ... + 134584704594.

It is an arithmetic number, because the mean of its divisors is an integer number (9725787000).

Almost surely, 24979634069312 is an apocalyptic number.

4979634069312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4979634069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9803593296000).

4979634069312 is an abundant number, since it is smaller than the sum of its proper divisors (14627552522688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4979634069312 is a wasteful number, since it uses less digits than its factorization.

4979634069312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 4979634069312 in words is "four trillion, nine hundred seventy-nine billion, six hundred thirty-four million, sixty-nine thousand, three hundred twelve".